A primer on Kitaev Model: Basic aspects, material realization, and recent experiments

Abstract

This elementary review article is aimed to the beginning graduate students interested to know basic aspects of Kitaev model. We begin with a very lucid introduction of Kitaev model and present its exact solution, Hilbert space structure, fractionalisation, spin-spin correlation function and topological degeneracy in an elementary way. We then discuss the recent proposal of realizing Kitaev interaction in certain materials. Finally we present some recent experiments done on these materials, mainly magnetization, susceptibility, specific heat and thermal Hall effect to elucidate the recent status of material realization of coveted Kitaev spin-liquid phase. We end with a brief discussion on other theoretical works on Kitaev model from different many-body aspects.

41 page, 35 figures. arXiv admin note: text overlap with arXiv:2006.11549

References in corpus (84)

• Non-Abelian Anyons and Topological Quantum Computation
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Ising-Type Magnetic Ordering in Atomically Thin FePS3
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Models and Materials for Generalized Kitaev Magnetism
• Tutorial: A Beginner's Guide to Interpreting Magnetic Susceptibility Data with the Curie-Weiss Law
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Quantum magnetism and criticality
• Suppression of magnetic ordering in XXZ-type antiferromagnetic monolayer NiPS3
• Altermagnetism: Exploring New Frontiers in Magnetism and Spintronics
• Exact results for spin dynamics and fractionization in the Kitaev Model
• An exact chiral spin liquid with non-Abelian anyons
• Topological Order and Conformal Quantum Critical Points
• Successive magnetic phase transitions in $\mathbf{\alpha }$-RuCl${}_3$: XY-like frustrated magnet on the honeycomb lattice
• Measurement-Only Topological Quantum Computation
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Experimental identification of quantum spin liquids
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Anisotropic Ru3+ 4d5 magnetism in the alpha-RuCl3 honeycomb system: susceptibility, specific heat and Zero field NMR
• Vaporization of Kitaev spin liquids
• Robustness of the thermal Hall effect close to half-quantization in a field-induced spin liquid state
• Exact results for quench dynamics and defect production in a two-dimensional model
• Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
• Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions
• Altermagnetism with Non-collinear Spins
• Disorder in a quantum spin liquid: flux binding and local moment formation
• Quantum Monte Carlo study of S=1/2 weakly-anisotropic antiferromagnets on the square lattice
• Raman spectroscopic signature of fractionalized excitations in the harmonic-honeycomb iridates $\beta$- and $\gamma$-Li${}_2$IrO${}_3$
• Fractionalization, topological order, and quasiparticle statistics
• Electronic structures of layered perovskite Sr2MO4 (M=Ru, Rh, and Ir)
• Strong quantum fluctuations in a quantum spin liquid candidate with a Co-based triangular lattice
• Quench dynamics and defect production in the Kitaev and extended Kitaev models
• Field-induced intermediate ordered phase and anisotropic interlayer interactions in $\alpha$-RuCl${}_3$
• Perturbative approach to an exactly solved problem: the Kitaev honeycomb model
• A Multi-Dimensional Lieb-Schultz-Mattis Theorem
• Designing light-element materials with large effective spin-orbit coupling
• Identification of Magnetic Interactions and High-field Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Theory of defect production in nonlinear quench across a quantum critical point
• Vacancy-induced low-energy density of states in the Kitaev spin liquid
• Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking
• Thermodynamic perspective on the field-induced behavior of $\alpha$-RuCl${}_3$
• Thermal Hall effects in quantum magnets
• Entanglement Entropy as a Portal to the Physics of Quantum Spin Liquids
• Thermodynamic and Transport Properties in Disordered Kitaev Models
• Topological degeneracy and vortex manipulation in Kitaev's honeycomb model
• Heisenberg and anisotropic exchange interactions in magnetic materials with correlated electronic structure and significant spin-orbit coupling
• Variational study of the Kitaev-Heisenberg-Gamma model
• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Giant Phonon Anomalies in the Proximate Kitaev Quantum Spin Liquid $\alpha$-RuCl${}_3$
• Valence-bond crystals in the kagome spin-1/2 Heisenberg antiferromagnet: a symmetry classification and projected wave function study
• Angle-dependent thermodynamics of $\alpha$-RuCl${}_3$
• Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations
• Majorana-fermion origin of the planar thermal Hall effect in the Kitaev magnet $\alpha$-RuCl${}_3$
• Floquet engineering of Kitaev quantum magnets
• Inverse Faraday effect in Mott insulators
• Emergent SU(3) magnons and thermal Hall effect in the antiferromagnetic skyrmion lattice
• Characterizing Long-Range Entanglement in a Mixed State Through an Emergent Order on the Entangling Surface
• Further insights into the thermodynamics of the Kitaev honeycomb model
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Exchange interactions in $d^5$ Kitaev materials: From Na${}_2$IrO${}_3$ to $\alpha$-RuCl${}_3$
• Probing quantum spin liquids with a quantum twisting microscope
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Electromagnetic signatures of chiral quantum spin liquid
• Kitaev Spin Liquid Candidate OsxCl3 Comprised of Honeycomb Nano-Domains
• Emergent orbital magnetization in Kitaev quantum magnets
• Magnetic vortex liquid and anomalous thermal Hall conductivity in frustrated magnets with bond-dependent interactions
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Phases and phase transitions of a perturbed Kekulé-Kitaev model
• Long-range entanglement and topological excitations
• Entanglement and level crossings in frustrated ferromagnetic rings
• Incommensurate, helical spin ground states on the Hollandite lattice
• The anti-symmetric and anisotropic symmetric exchange interactions between electric dipoles in hafnia
• Spin Entanglement and Magnetic Competition via Long-range Interactions in Spinor Quantum Optical Lattices
• Projective symmetry group classification of Abrikosov fermion mean-field ansätze on the square-octagon lattice
• Hybrid Dyons, inverted Lorentz force and magnetic Nernst effect in quantum spin ice
• Dimer Crystallization Induced by Elemental Substitution in the Honeycomb Lattice of Ru1-xOsxCl3
• Quantum Spin-Wave Theory for non-collinear Spin Structures, a Review
• Static and dynamical magnetic properties of the extended Kitaev-Heisenberg model with spin vacancies
• Field tuning Kitaev systems for spin fractionalization and topological order
• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part II -- dynamics of Majorana fermions
• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part I -- static properties

Cited by in corpus (1)

• Exactly solvable spin liquids in Kitaev bilayers and moiré superlattices